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Finding the Fourth Proportional to 20,878.93, 31,283.20 and 10,334.89

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Solution

The fourth proportional to 20,878.93, 31,283.20 and 10,334.89 is: 15,484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.93 : 31,283.20 = 10,334.89 : x
  2. Step 2: Convert to fraction form
    20,878.93/31,283.20 = 10,334.89/x
  3. Step 3: Cross multiply
    20,878.93x = 31,283.20 × 10,334.89
  4. Step 4: Simplify right side
    20,878.93x = 323,308,430.85
  5. Step 5: Solve for x
    x = 323,308,430.85/20,878.93
  6. Step 6: Final answer
    x = 15,484.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.